Pith Number

pith:OBMFVWJP

pith:2025:OBMFVWJPZCPZCTVGJRENZD2U6L

not attested not anchored not stored refs pending

Universal thermodynamic topological classes of black holes in perfect fluid dark matter background

Mubasher Jamil, Muhammad Rizwan, M. Z. A. Moughal

arxiv:2501.04739 v2 · 2025-01-08 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OBMFVWJPZCPZCTVGJRENZD2U6L}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Topology of black hole thermodynamics: A brief review

Receipt and verification

First computed	2026-07-05T10:41:19.542053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70585ad92fc89f914ea64c48dc8f54f2eeddb658aba366beeeb77fc521b200bd

Aliases

arxiv: 2501.04739 · arxiv_version: 2501.04739v2 · doi: 10.48550/arxiv.2501.04739 · pith_short_12: OBMFVWJPZCPZ · pith_short_16: OBMFVWJPZCPZCTVG · pith_short_8: OBMFVWJP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OBMFVWJPZCPZCTVGJRENZD2U6L \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 70585ad92fc89f914ea64c48dc8f54f2eeddb658aba366beeeb77fc521b200bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c53995a4710905af63dbea4991999bf2c86aa088c7ebfa0a6e908b801cbb612e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-01-08T02:49:17Z",
    "title_canon_sha256": "71a920ea4637eb5a2cfaad6663c3e7d189729194c6f38c0bbdfb5c0439a07ccd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04739",
    "kind": "arxiv",
    "version": 2
  }
}